# Need help in solving a 3 variable equation

• February 9th 2010, 04:09 PM
supersaiyan
Need help in solving a 3 variable equation
4x - 3y + 3z = 0
3x - 2y = 0
2x-y + 4z = 0
Find the most general solution you can.

Have to use matrices

so i did this
{1 -3/4 3/4 }
{1 -2/3 0 }
{1 -1/2 2 }

my final was
{1 -3/4 3/4}
{0 1 -9}
{0 0 14}

I allowed z = t
then y = 9t
and x = 6t

when i sub these values in to equation it doesn't satisfy the last equation. Can someone please help
• February 9th 2010, 04:25 PM
dedust
Quote:

Originally Posted by supersaiyan
my final was
{1 -3/4 3/4}
{0 1 -9}
{0 0 14}

from here we have (if you did it correctly)

$14z = 0 \rightarrow z = 0$

$y - 9z = 0 \rightarrow y = 0$

$x - 3/4y + 3/4z = 0 \rightarrow x = 0$